{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "24934008-0092-4e2d-903f-fc39acf4853c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ec77f6c7-99d1-481b-8a80-5002c6b6cc67",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Base_Shear(L):\n",
    "    mm = 1-((L)/(2*R))\n",
    "    thm = np.arctan(mm/(1-mm))\n",
    "    km = (2/(thm)**2)*(1-np.cos(thm))\n",
    "    Wsm = Wtot*(1-mm**2)\n",
    "    Wfm = Wtot-Wsm\n",
    "    Mm=Wsm*km*R+Wfm*R*(1-mm)\n",
    "    Vm = Mm/hi\n",
    "    return Vm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "29a5a5da-3fe5-4446-b2cf-43fb5bd05ba4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rotation_Uplift(theta):\n",
    "    Lm2a=Ly+0.01\n",
    "    Lm2b=0\n",
    "    true = 0\n",
    "    while(true==0):\n",
    "        wm2 = theta/((2/Lm2a)-(1/(2*R)))\n",
    "        N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "        Lm2b = (2*wm2*N2/p)**0.5+Ly\n",
    "        if(abs(Lm2a-Lm2b)<0.001):\n",
    "            true = 1\n",
    "        else:\n",
    "            Lm2a=Lm2b\n",
    "    return wm2,Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c679c99-b3dc-4e95-96fa-516545d97fff",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def func(x,a,b,c):\n",
    "    return a*np.exp(b*(x-c))/(1+np.exp(b*(x-c)))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "a1a48b37-fe69-4095-a6b4-62efe1401890",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "g = 9.805\n",
    "\n",
    "H = 16.5\n",
    "R = 13.9\n",
    "n = 20\n",
    "bw = 2*np.pi*R/n\n",
    "\n",
    "fillr = 0.95\n",
    "\n",
    "ro = 0.998\n",
    "ph = ro*g*H*fillr\n",
    "p = ph*bw\n",
    "#Final 9.5\n",
    "tb = 9.5/1000\n",
    "tw = 17/1000\n",
    "A = bw*tb\n",
    "I = bw*tb**3/12\n",
    "Zp = bw*tb**2/4\n",
    "Es = 210000000\n",
    "v = 0.3 \n",
    "Fys = 235000\n",
    "My = Fys*Zp\n",
    "\n",
    "ros = 7.850 #density of steel\n",
    "Ww = ros*g*H*bw*tw #weight of wall over one side of the strip\n",
    "tr = 31/1000\n",
    "mr = 35\n",
    "Wr = mr*g #weight of roof\n",
    "Wrr = Wr/n\n",
    "mtot = ro*H*fillr*np.pi*R**2\n",
    "Wtot = mtot*g\n",
    "\n",
    "kuu = Es*bw*(tw/R)**1.5/((3*(1-v**2))**0.25)\n",
    "ktt = Es*bw*tw**2*(tw/R)**0.5/(2*(3*(1-v**2))**0.75)\n",
    "ktu = -Es*bw*tw*(tw/R)/(2*(3*(1-v**2))**0.5)\n",
    "\n",
    "kuus = kuu-ktu**2/ktt\n",
    "dtu = -ktu/(ktt*kuu-ktu**2)\n",
    "dtt = kuu/(ktt*kuu-ktu**2)\n",
    "\n",
    "Ly = (6*My/p)**0.5\n",
    "wy = p*Ly**4/(72*Es*I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "990f85b0-5cbc-4a0d-9ae1-93e0140d8f3f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.45541813614048926"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "bbc9209a-b25e-4b65-b646-d4c18f313fae",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.45541813614048926"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(3*Fys*tb**2/(2*ro*g*H*fillr))**0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "a6dd937d-a2a4-48fa-940a-c062f8814512",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.107811340919066"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "61f1e2b3-5f0b-4885-9f9e-4b305b1cab13",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.006107811340919064"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ro*g*fillr*H*Ly**4/(6*Es*tb**3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "3722ca72-7857-42e0-afb1-2a18d74bd306",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "n = np.linspace(0,145,145, dtype='int')\n",
    "gamma = fillr*H/R\n",
    "vn = np.zeros(len(n))\n",
    "for i in range(len(n)):\n",
    "    vn[i] = np.pi*(2*n[i]+1)/2\n",
    "    \n",
    "I1 = np.zeros(len(n))\n",
    "I1p = np.zeros(len(n))\n",
    "\n",
    "for i in range(len(n)):\n",
    "    I1[i] = scp.special.i1(vn[i]/gamma)\n",
    "    I1p[i] = scp.special.i0(vn[i]/gamma)- scp.special.i1(vn[i]/gamma)/(vn[i]/gamma)\n",
    "\n",
    "mi = np.sum(2*mtot*gamma*(I1/(I1p*vn**3)))\n",
    "hi = H*np.sum((-1)**n*I1*(vn*(-1)**n-1)/(vn**4*I1p))/np.sum((I1/(I1p*vn**3)))\n",
    "Ci = 6.2\n",
    "ro = 998\n",
    "tw = 17.7/1000\n",
    "Es1 = Es*1000\n",
    "Ti = Ci*H*(ro/Es1)**0.5/(tw/R)**0.5\n",
    "ki = 4*np.pi**2*mi/Ti**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "333f726b-c6aa-4ba6-9896-09ebedd4b931",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.19762961469710677"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ti"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "88e3d1c1-498d-497b-88fa-6faf87c39cd1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.583430116180643"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lam1 = 1.8412\n",
    "mc = mtot*2*np.tanh(lam1*gamma)/(lam1*gamma*(lam1**2-1))\n",
    "hc = H*(1+(1-np.cosh(lam1*gamma))/(lam1*gamma*np.sinh(lam1*gamma)))\n",
    "Tc = 2*np.pi*(R/g)**0.5/(lam1*np.tanh(lam1*H/R))**0.5\n",
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "fe835d07-e40c-4685-a297-0b6fe63183ef",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.583430116180643"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "7a02142e-638f-4e78-b322-1955b5da0968",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8168.886093302536"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#DDBD\n",
    "Vy = Base_Shear(Ly)\n",
    "Vy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "e0dd2514-56f8-4dc1-bfd6-e83259c9df83",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002910989496898519"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dy = wy*hi/(2*R)+Vy/ki\n",
    "dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "c3c3bab5-d49f-40fc-a1be-f48281eb3eab",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6636334580444608"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1,Lpl1 = Rotation_Uplift(0.2)\n",
    "Lpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "e1d11aa0-26f8-46f7-aa6d-3ca92252dc1f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Vpl1 = Base_Shear(Lpl1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "e103257f-e0f1-43b8-82ba-6c3f5b64bb34",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.018253419765255068"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpl1 = wpl1*hi/(2*R)+Vpl1/ki\n",
    "dpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "b1c00e60-7de5-42af-bda2-f510286a101f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.270520654472635"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu = dpl1/dy\n",
    "mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "23d0bf6e-9605-4d28-a793-84e7ecc60b1d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08992628491748185"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ksi = func(mu,0.28,0.24,6)+0.02\n",
    "ksi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "0dad5a1b-ebdc-48b4-8cc3-6dd274fb704e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def GMSpectra(Tr):\n",
    "    \n",
    "    T = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/FRS/NLTH Analyses/Infilled/Ground Motion Scaled/'+Tr+'/ResponseSpectra/Acceleration/GMRS_1.txt')[:,0]\n",
    "    Sa = np.zeros((len(np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/FRS/NLTH Analyses/Infilled/Ground Motion Scaled/'+Tr+'/ResponseSpectra/Acceleration/GMRS_1.txt')[:,0]),30))\n",
    "    Sd = np.zeros((len(np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/FRS/NLTH Analyses/Infilled/Ground Motion Scaled/'+Tr+'/ResponseSpectra/Acceleration/GMRS_1.txt')[:,0]),30))\n",
    "\n",
    "    for i in range(len(Sa[0,:])):\n",
    "        Sa[:,i] = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/FRS/NLTH Analyses/Infilled/Ground Motion Scaled/'+Tr+'/ResponseSpectra/Acceleration/GMRS_'+str(i+1)+'.txt')[:,1]\n",
    "        Sd[:,i] = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/FRS/NLTH Analyses/Infilled/Ground Motion Scaled/'+Tr+'/ResponseSpectra/Displacement/GMRS_'+str(i+1)+'.txt')[:,1]\n",
    "\n",
    "    Sam = np.zeros(len(Sa[:,0]))\n",
    "    Sdm = np.zeros(len(Sa[:,0]))\n",
    "\n",
    "    for i in range(len(Sam)):\n",
    "        Sam[i] = np.median(Sa[i,:])\n",
    "        Sdm[i] = np.median(Sd[i,:])\n",
    "    return T,Sam,Sdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "e2ea16e5-12d8-4fa0-82aa-4da43d9f2d06",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "T,Sam,Sdm = GMSpectra('475')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "8b15b1da-8085-4378-8b11-f6319be0fdba",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Absolute Acceleration Spectrum, $S_A$ [g]')"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "icon = abs(Tc-T).argmin()\n",
    "plt.plot(T,Sam)\n",
    "plt.xlim(0,6)\n",
    "plt.ylim(0,0.6)\n",
    "plt.plot((Tc,Tc),(0,Sam[icon]),color='k',ls='--')\n",
    "plt.xlabel(r'Period, $T$ [s]',fontsize=12)\n",
    "plt.ylabel(r'Absolute Acceleration Spectrum, $S_A$ [g]',fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "bfb4e2bf-4e3c-4037-82b2-d56cd64799fd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "586.9973229387336"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vcon = Sam[icon]*g*mc\n",
    "Vcon"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "6c10c608-eaac-4d73-a9c3-60c2fdc9c762",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Final 0.6\n",
    "Te1 = 0.6\n",
    "#Te2 = 1.34\n",
    "#Te3 = 0.42\n",
    "plt.plot(T,Sdm,label=r'$\\xi_{eq} = $ 0.05')\n",
    "#plt.plot(T,Sdm*(0.1/(0.05+ksi2))**0.5,label=r'$\\theta_{pl} = 0.4rad$')\n",
    "plt.plot(T,Sdm*(0.1/(0.05+ksi))**0.5,label=r'$\\xi_{eq} = $'+str(round(ksi,2)))\n",
    "#plt.plot(T,Sdm*(0.1/(0.05+ksi3))**0.5,label=r'EFB')\n",
    "plt.plot((0,Te1),(dpl1,dpl1),color='k',ls='--')\n",
    "#plt.plot((0,Te2),(dpl2,dpl2),color='k',ls='--')\n",
    "#plt.plot((0,Te3),(dEFB,dEFB),color='k',ls='--')\n",
    "plt.plot((Te1,Te1),(0,dpl1),color='k',ls='--')\n",
    "#plt.plot((Te2,Te2),(0,dpl2),color='k',ls='--')\n",
    "#plt.plot((Te3,Te3),(0,dEFB),color='k',ls='--')\n",
    "#plt.text(0.5,0.043,r'$\\theta_{pl} = 0.4rad$',fontsize=8)\n",
    "#plt.text(0.05,0.012,r'$\\theta_{pl} = 0.2rad$',fontsize=8)\n",
    "#plt.text(0.05,0.015,r'EFB',fontsize=8)\n",
    "plt.xlim(0,2)\n",
    "plt.ylim(0,0.06)\n",
    "plt.legend()\n",
    "plt.xlabel(r'Period, $T$ [s]',fontsize=12)\n",
    "plt.ylabel(r'Relative Displacement Spectrum, $S_D$ [m]',fontsize=12)\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure15_P4.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "f5438f7f-2477-4d6f-bfba-f115d2c06a65",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11834.014504691268\n",
      "11823.499282576657\n",
      "1.0008893494102973\n"
     ]
    }
   ],
   "source": [
    "#Design for 0.2rad\n",
    "keq = (4*np.pi**2*mi/Te1**2)\n",
    "Vbd1 = dpl1*(4*np.pi**2*mi/Te1**2)+Vcon\n",
    "print(Vbd1)\n",
    "print(Vpl1)\n",
    "print(Vbd1/Vpl1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "97ea9d35-3367-4346-b958-cb1161d963d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "ky = Vy/dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "12cb9234-941d-4774-b989-a2ee0e0362b3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.281149106840605"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ty = 2*np.pi*(mi/ky)**0.5\n",
    "Ty"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "f36150ba-1b0d-450f-8f77-a8f77fde401a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "616159.4554002945"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "d628c4dc-20b3-4f85-b5da-c27c53d56bff",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "586.9973229387336"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vcon"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "id": "aa8700dc-5524-4f3a-b63b-3a2deefaeea5",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,6))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(T,Sdm,label=r'$\\xi_{eq} = $ 0.05',color='k')\n",
    "plt.plot(T,Sdm*(0.1/(0.05+ksi))**0.5,label=r'$\\xi_{eq} = $'+str(round(ksi,2)),color='grey')\n",
    "plt.plot((0,Te1),(dpl1,dpl1),color='k',ls='--')\n",
    "plt.plot((Te1,Te1),(0,dpl1),color='k',ls='--')\n",
    "plt.text(0.01,0.019,r'$\\Delta_D = 0.018 m$',fontsize=12)\n",
    "plt.text(0.61,0.001,r'$T_e = 0.60 s$',fontsize=12)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.text(0.01,0.062,'a)',fontsize=20)\n",
    "plt.xlim(0,2)\n",
    "plt.ylim(0,0.06)\n",
    "plt.legend(fontsize=14)\n",
    "plt.xlabel(r'Period, $T$ [s]',fontsize=14)\n",
    "plt.ylabel(r'Spectral Displacement, $S_D$ [m]',fontsize=14)\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(Sdm,Sam,label=r'$\\xi_{eq} = $ 0.05',color='k')\n",
    "plt.plot(Sdm*(0.1/(0.05+ksi))**0.5,Sam*(0.1/(0.05+ksi))**0.5,label=r'$\\xi_{eq} = $'+str(round(ksi,2)),color='grey')\n",
    "plt.plot((0,dy),(0,Vy/(mi*g)),color='k',ls='-.')\n",
    "plt.plot((dy,dpl1),(Vy/(mi*g),Vbd1/(mi*g)),color='k',ls='-.',label='Capacity curve')\n",
    "plt.xlim(0,0.14)\n",
    "plt.ylim(0,0.6)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.text(0.001,0.62,'b)',fontsize=20)\n",
    "plt.legend(fontsize=14)\n",
    "plt.xlabel(r'Spectral Displacement, $S_D$ [m]',fontsize=14)\n",
    "plt.ylabel(r'Spectral Acceleration, $S_A$ [g]',fontsize=14)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/Paper/Figure13.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ff405ebf-f769-4d18-9e1d-6cb536ca4e86",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "278161e9-d7a5-4558-a879-a2b28adbcf93",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
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